NEWS at Perspectives in Mathematical Science I
(2021 Spring, Part 1 -- Hamanaka)

News

• The fifth lecture on May 18th will be given in face-to-face style at Room 509. The handwritten note is as follows: [Noncommutative Integrable Equations (pdf, 0.7Mb)].
  The corona situation becomes quite serious. Please be careful enough. (If you feel bad, stay home and take a rest.) (2021/05/18)
• The fourth lecture on May 11th will be given in face-to-face style at Room 509. Materials and handwritten notes are as follows: [Quasideterminants (pdf, 578kb)] [Motivation (pdf, 224kb)].
  The corona situation becomes serious. Please be careful enough. (If you feel bad, stay home and take a rest.) (2021/05/10)
• I have updated the handwritten notes in April as a batch version and report problems 1-6 . I have given up making problems on KP hierarchy together with pseudo diffrential operators and on Grassmann manifolds. (See e.g. [Dickey] and [MJD].) Instead, I prepare problem 6 (2) so that you can enjoy by yourself. I found there was an unnecessary condition in the Plucker relation in the handwritten note (sorry..). (2021/05/06)
• I have updated the handwritten notes in April as a batch version. (2021/05/02)
• The third lecture on April 27th will be given in face-to-face style at Room 509. A handwritten note is here (pdf, 0.7Mb). (2021/04/27)
• On April 20, I couldn't discuss KdV hierarchy (section 2.3) due to time limitation. I have updated the handwritten note (v2) omitting section 2.3 (and quiz 2). On April 27, I will lecture on KP equation together with section 2.3, in face-to-face style at Room 509. (2021/04/25)
• Here are Introduction (pdf, 442kb) and handwritten note (pdf, 0.7Mb). (2021/04/20)
• The second lecture on April 20th will be given in face-to-face style at Room 509. Materials and handwritten notes will be uploaded in NUCT page on the same day. (2021/04/19)
• After the lecture on April 13, I had a few questions from students and realized that there is lack of explanation on the Laplace expansion theorem. The theorem 1.6 (version 1 note) holds for a given J and depends on the choice of J. (I remember I had a wrong answer then. I'm sorry..) I have updated the handwritten note (v2) and made report problem 1 , where two versions of this theorem: column version and row version are written. I would like to make a comment on this in the begining of the next lecture on April 20. (2021/04/18)
• Here are Material of Guidence (pdf, 98kb) and handwritten note (pdf, 551kb). (2021/04/12)
• The first lecture on April 13th will be given in face-to-face style at Room 509. Materials and handwritten notes will be uploaded in NUCT page on the same day. (2021/04/12)
• This homepage is open. (2021/02/06)